2583-7214 TMP Universal Journal of Research and Review Archives 2583-7214 Ms Ashvi Jain 10.69557/ujrra.v1i1.13 MODELLING THE EFFECT OF EVAPORATION OR INFILTRATION ON THE FREE SURFACE OF GROUNDWATER IN CERTAIN PROBLEMS OF UNDERGROUND HYDROMECHANICS Bereslavskii E. N. Doctor of Mathematics and Mechanics, Professor St. Petersburg University of Civil Aviation, Russian Federation 15 09 2022 1 1 19 27 Copyright © 2022 Dr. E. N. Bereslavskii 2022 This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License which permits unrestricted use, sharing, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. https://creativecommons.org/licenses/by/4.0

Within the framework of the theory of plane steady filtration of an incompressible fluid according to Darcy’s law, two limiting schemes modeling the filtration flows under the Joukowski tongue through a soil massive spread over an impermeable foundation or strongly permeable confined water bearing horizon are considered.

 Keywords filtration infiltrations evaporation groundwater free surface tongue of Zhukovsky Polubarinova - Cochina's method complex velocity conformal mappings Fuchsian equation